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Finding the Fourth Proportional to 29,986.86, 44,972.43 and 8,921.24

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Solution

The fourth proportional to 29,986.86, 44,972.43 and 8,921.24 is: 13,379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986.86 : 44,972.43 = 8,921.24 : x
  2. Step 2: Convert to fraction form
    29,986.86/44,972.43 = 8,921.24/x
  3. Step 3: Cross multiply
    29,986.86x = 44,972.43 × 8,921.24
  4. Step 4: Simplify right side
    29,986.86x = 401,209,616.55
  5. Step 5: Solve for x
    x = 401,209,616.55/29,986.86
  6. Step 6: Final answer
    x = 13,379.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.